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Pythagorean theorem word problems

Students practise Pythagorean theorem word problems using ladders, ramps, distances, and screen diagonals. They solve repeated read-and-calculate questions in a set of four, starting with given sides. Level: 8th grade.

By Edform · Mathematics · Grade 8 · Published Oct 28, 2026 · New

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Questions

  1. A 13-foot ladder rests against a wall. Its base is 5 feet from the wall. How high up the wall does the ladder reach?
  2. A ramp rises 6 feet and extends 8 feet horizontally. How long is the ramp?
  3. A TV screen is 40 inches wide and 30 inches tall. What is the length of its diagonal?
  4. A rectangular park is 5 miles long and 12 miles wide. What is the straight-line distance from one corner to the opposite corner?
  5. Put the steps in order to find how high a 13-foot ladder reaches when its base is 5 feet from a wall.
  6. Choose the value that completes the sentence.
  7. Sort each situation by whether the unknown length is the hypotenuse or a leg.
  8. Mark each statement true or false.
  9. Put the steps in order to find the diagonal of a rectangular field that is 9 feet by 12 feet.
  10. A 25-foot ladder rests against a wall with its base 7 feet from the wall. How high up the wall does it reach? Enter the number of feet.

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